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2 years ago

Does anyone know the answer? Ty

Mathematics

2 answers:

Kamila [148]2 years ago

5 0

Answers:

JK = 29
LM = 29
KL = 10
MJ = 10
JK = LM and KL = MJ

========================================================

Explanation:

Let's plug in the given x value

JK = 5x+9 = 5*4+9 = 20+9 = 29
LM = 6x+5 = 6*4+5 = 24+5 = 29

Both JK and LM are equal to 29, so this means JK = ML

Now use the y value

KL = 2y-6 = 2*8-6 = 16-6 = 10
MJ = y+2 = 8+2 = 10

Both JM and KL are equal to 10, so JM = KL

These facts are sufficient to prove we have a parallelogram.

d1i1m1o1n [39]2 years ago

3 0

Uebtos tkwnrow jdoqbhrobwbtibwitnr

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In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

By using sine rule

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

sin A = 0.990

A = sin⁻¹( 0.990) = 82.2°

∠A = 82.2°

Step(ii):-

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

Step(iii):-

we will use formula

$\frac{b}{sin B} = \frac{c}{Sin C}$

$\frac{11}{sin 35} = \frac{c}{Sin 62.8}$

$\frac{11 X sin (62.8)}{sin 35} = C$

c = 17.01

Final answer:-

∠A = 82.2° , ∠C = 62.8° , c = 17.01

4 0

3 years ago

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 3 oz of chips and drank 2 cups of soda for a t

Diano4ka-milaya [45]

Answer:

200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.

Step-by-step explanation:

Let x mg sodium is in 1 oz of chips and and y mg is in 1 cup of soda.

∵ Bryan ate 3 oz of chips and drank 2 cups of soda for a total of 700 mg of sodium.

i.e. 3x + 2y = 700 --------(1),

Jadyn ate 1 oz of chips and drank 3 cups of soda for a total of 350 mg of sodium.

i.e. x + 3y = 350 ---------(2),

Equation (1) - 3 × equation (2),

We get,

2y - 9y = 700 - 1050

-7y = -350

$\implies y = \frac{-350}{-7}= 50$

From equation (1),

3x + 2(50) = 700

3x + 100 = 700

3x = 700 - 100

3x = 600

$\implies x = \frac{600}{3}=200$

Hence, 200 mg sodium is in 1 oz of chips and 50 mg sodium is in 1 cup of soda.

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3 years ago

Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

tiny-mole [99]

Answer:

2/3<9/10; I used 3/4 as a benchmark.

Step-by-step explanation:

2/3<1/2; I used 1/2 as a benchmark.

2/3 = 0.(20/3) = 0.667

1/2 = 0.(10/2) = 0.5

So this is wrong, as 0.667 > 0.5.

1/2=3/5; I used 1/4 as a benchmark.

1/2 = 0.(10/2) = 0.5

3/5 = 0.(30/5) = 0.6

0.5 != 0.6, so this is wrong.

2/3<9/10; I used 3/4 as a benchmark.

2/3 = 0.(20/3) = 0.667

9/10 = 0.(90/10) = 0.9

So this is correct, as 0.667 < 0.9

3/4<2/3; I used 1/2 as a benchmark.

3/4 = 0.(30/4) = 0.75

2/3 = 0.(20/3) = 0.667

0.75 > 0.667, so this is wrong.

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2 years ago

Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the

Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is $P(T)=\frac{1}{2}$

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green $P(S)=\frac{2}{3}$

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three $P(C)=\frac{1}{6}$

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

$P=P(T)+P(S)+P(C)$

$P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}$

$P=\frac{3+4+1}{6}$

$P=\frac{8}{6}$

$P=\frac{4}{3}$

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

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3 years ago

Look at the image below

Alexandra [31]

that's what I got, you can confirm if it's correct or not... I'm not sure

have a nice dayʘ‿ʘ

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2 years ago